{"title":"设计Pedibus线路:基于路径的方法","authors":"Federico Malucelli, Emanuele Tresoldi, Maddalena Nonato","doi":"10.1016/j.endm.2018.07.020","DOIUrl":null,"url":null,"abstract":"<div><p>We study the problem of designing walking school bus lines (Pedibus) limiting the deviation with respect to the shortest path for each child, with the objective of minimizing the number of accompanying persons and the perceived risk of the selected trajectories. The problem is formulated using a path model and a column generation approach is proposed. Computational experiments compare the lower bounds and the solutions of the proposed approach with the arc model and a simple heuristic proposed in a previous work.</p></div>","PeriodicalId":35408,"journal":{"name":"Electronic Notes in Discrete Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2018-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.endm.2018.07.020","citationCount":"2","resultStr":"{\"title\":\"Designing Pedibus Lines: a Path Based Approach\",\"authors\":\"Federico Malucelli, Emanuele Tresoldi, Maddalena Nonato\",\"doi\":\"10.1016/j.endm.2018.07.020\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>We study the problem of designing walking school bus lines (Pedibus) limiting the deviation with respect to the shortest path for each child, with the objective of minimizing the number of accompanying persons and the perceived risk of the selected trajectories. The problem is formulated using a path model and a column generation approach is proposed. Computational experiments compare the lower bounds and the solutions of the proposed approach with the arc model and a simple heuristic proposed in a previous work.</p></div>\",\"PeriodicalId\":35408,\"journal\":{\"name\":\"Electronic Notes in Discrete Mathematics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2018-08-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/j.endm.2018.07.020\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Electronic Notes in Discrete Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S1571065318301641\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Electronic Notes in Discrete Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S1571065318301641","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"Mathematics","Score":null,"Total":0}
We study the problem of designing walking school bus lines (Pedibus) limiting the deviation with respect to the shortest path for each child, with the objective of minimizing the number of accompanying persons and the perceived risk of the selected trajectories. The problem is formulated using a path model and a column generation approach is proposed. Computational experiments compare the lower bounds and the solutions of the proposed approach with the arc model and a simple heuristic proposed in a previous work.
期刊介绍：
Electronic Notes in Discrete Mathematics is a venue for the rapid electronic publication of the proceedings of conferences, of lecture notes, monographs and other similar material for which quick publication is appropriate. Organizers of conferences whose proceedings appear in Electronic Notes in Discrete Mathematics, and authors of other material appearing as a volume in the series are allowed to make hard copies of the relevant volume for limited distribution. For example, conference proceedings may be distributed to participants at the meeting, and lecture notes can be distributed to those taking a course based on the material in the volume.
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